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December 22, 2014

December 22, 2014

Posted by **Don** on Sunday, November 6, 2011 at 12:20pm.

write the function that gives the height of the roof in terms of the distance from the left wall.

What is the height of the roof 10m from the left wall.

- MATH C30 -
**Steve**, Monday, November 7, 2011 at 4:40amsince we have a max height of f(12)=9, we have a simple shifted cosine wave, of the form

y = 9 cos(k(x-12))

That will give us an amplitude of height 9, such that f(12) = 9. Now we need to figure what k is.

we know that f(0) = 5

5 = 9cos(-12k) = 9 cos(12k)

k = 1/12 * cos^{-1}(5/9) = 0.0818

So, f(x) = 9cos(0.0818(x-12))

f(10) = 8.88

as it should be, since 10 is close to 12, f(10) is close to f(12) = 9.

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